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30343968 = 2532105361
BaseRepresentation
bin111001111000…
…0001100100000
32010002122002200
41303300030200
530232001333
63002213200
7515630244
oct163601440
963078080
1030343968
1116145966
12a1b4200
136395715
14405c424
1529e5c13
hex1cf0320

30343968 has 36 divisors (see below), whose sum is σ = 86291478. Its totient is φ = 10114560.

The previous prime is 30343967. The next prime is 30343987. The reversal of 30343968 is 86934303.

It can be written as a sum of positive squares in only one way, i.e., 20684304 + 9659664 = 4548^2 + 3108^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30343961) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52393 + ... + 52968.

Almost surely, 230343968 is an apocalyptic number.

It is an amenable number.

30343968 is an abundant number, since it is smaller than the sum of its proper divisors (55947510).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30343968 is a wasteful number, since it uses less digits than its factorization.

30343968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105377 (or 105366 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 30343968 is about 5508.5359216402. The cubic root of 30343968 is about 311.9062834899.

The spelling of 30343968 in words is "thirty million, three hundred forty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 105361 210722 316083 421444 632166 842888 948249 1264332 1685776 1896498 2528664 3371552 3792996 5057328 7585992 10114656 15171984 30343968